PSLE A stationery shop is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 40% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Raeann and Archie each bought two books at the sale.
- Raeann's books were priced at $3 and $12. How much did she pay for them?
- Archie paid a total of $29.55 for his two books. He paid $10.35 more for the 1st book than the 2nd book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $12 |
100% $3 |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95% |
60% |
? |
(a)
Selling price of the 1st book
= 95% x 12
=
95100 x 12
= $11.40
Selling price of 2nd book
= 60% x 3
=
60100 x 3
= $1.80
Total amount that Raeann paid
= 11.40 + 1.80
= $13.20
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 40% |
|
Sale price |
95%
|
60%
|
|
Compare 1st book and 2nd book |
1 u + $10.35 |
1 u |
$29.55 |
(b)
Sale price of the 1st book = 1 u + 10.35
Sale price of the 2nd book = 1 u
Total amount that Archie paid
= 1 u + 10.35 + 1 u
= 2 u + 10.35
2 u + 10.35 = 29.55
2 u = 29.55 - 10.35
2 u = 19.20
1 u = 19.20 ÷ 2 = 9.60
Sale price of the 2nd book = $9.60
60% of the price = $9.60
100% of the price =
9.6060 x 100 = $16
Selling price of the 2nd book before discount = $16
Answer(s): (a) $13.20; (b) $16